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Finding the Fourth Proportional to 9,140.10, 13,714.05 and 4,464.24

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Solution

The fourth proportional to 9,140.10, 13,714.05 and 4,464.24 is: 6,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.10 : 13,714.05 = 4,464.24 : x
  2. Step 2: Convert to fraction form
    9,140.10/13,714.05 = 4,464.24/x
  3. Step 3: Cross multiply
    9,140.10x = 13,714.05 × 4,464.24
  4. Step 4: Simplify right side
    9,140.10x = 61,222,810.57
  5. Step 5: Solve for x
    x = 61,222,810.57/9,140.10
  6. Step 6: Final answer
    x = 6,698.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.